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Graph the linear equation:
`y=\frac{5}{4}x-2`
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GPT-5 mini
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To graph y = (5/4)x − 2:
- Slope = 5/4 (rise 5, run 4).
- y-intercept = (0, −2).
- x-intercept: set y = 0 → (5/4)x − 2 = 0 → x = 8/5 = 1.6 → (1.6, 0).
Points to plot: (0, −2), (4, 3) [since y = (5/4)*4 − 2 = 5 − 2 = 3], and (−4, −7) [since y = (5/4)*(−4) − 2 = −5 − 2 = −7]. Plot these points and draw a straight line through them.
(Equivalent standard form: 5x − 4y − 8 = 0.)
- Slope = 5/4 (rise 5, run 4).
- y-intercept = (0, −2).
- x-intercept: set y = 0 → (5/4)x − 2 = 0 → x = 8/5 = 1.6 → (1.6, 0).
Points to plot: (0, −2), (4, 3) [since y = (5/4)*4 − 2 = 5 − 2 = 3], and (−4, −7) [since y = (5/4)*(−4) − 2 = −5 − 2 = −7]. Plot these points and draw a straight line through them.
(Equivalent standard form: 5x − 4y − 8 = 0.)
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